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Finding the Fourth Proportional to 322.19, 444.30 and 217.16

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Solution

The fourth proportional to 322.19, 444.30 and 217.16 is: 299.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.19 : 444.30 = 217.16 : x
  2. Step 2: Convert to fraction form
    322.19/444.30 = 217.16/x
  3. Step 3: Cross multiply
    322.19x = 444.30 × 217.16
  4. Step 4: Simplify right side
    322.19x = 96,484.19
  5. Step 5: Solve for x
    x = 96,484.19/322.19
  6. Step 6: Final answer
    x = 299.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.